does the following inequality holds for every POSITIVE 'x' ?(adsbygoogle = window.adsbygoogle || []).push({});

[tex] e^{-x}-1\le Cx^{1/4+e} [/tex] here 'C' and e are positive constants

i think that for very very small 'e' the constant must be very BIG but no other hint i find

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# Does the following inequality holds for every POSITIVE 'x' ?

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